What is the 1313th prime number?
The 1313th prime number is 10781. The next prime is 10789 (a gap of 8) and the one before is 10771.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1313th one is 10781.
- 2
10781 is prime because no prime up to ā10781 ā 103.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1313th prime is close to 1313 Ć ln(1313) ā 9427, and here it is 10781.
- 4
10781 has no twin: neither 10779 nor 10783 is prime.
Primes around the 1313th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1310 | 10739 | 6 |
| 1311 | 10753 | 14 |
| 1312 | 10771 | 18 |
| 1313 | 10781 | 10 |
| 1314 | 10789 | 8 |
| 1315 | 10799 | 10 |
| 1316 | 10831 | 32 |
Questions
What is the 1313th prime number?
10781.
Which prime number is 10781?
10781 is the 1313th prime number.
What is the sum of the first 1313 primes?
6,608,854.